#HOW?

30 messages · Page 1 of 1 (latest)

topaz citrus
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How they get 8.29995068%

oblique tusk
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$1+\frac{0.08}{12} = 1.00666.. \ 1.0666..^{12} = 1.08299$

buoyant fogBOT
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conquestace

oblique tusk
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and thats and that is 8.29%

topaz citrus
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I don’t get it

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Why they remove the

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1.082…

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Like where’s the 1.0

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Where did it go

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And why they divide it by 8

oblique tusk
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that's just notation of how we represent the information

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when working with percentages (specifically for interest rate)

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we don't say 108.2% interest

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but instead we say 8.29% interest

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when you have a decimal value

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say 0.5

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that can be represented as a percentage by multiplying the value by 100

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so 0.5 * 100 = 50%

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or 0.25*100 = 25%

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if you follow this rule with the value you got, 1.082 * 100

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we get 108.2%

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but when talking about interest that doesn't really make sense

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(the more rigorous reasoning has to do with the how the math works out within the exponentials)

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but rather than saying 108.2% interest, we say 8.2% interest

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ignoring the 1.0

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Basically it's the mathematical definition of an interest rate:

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$$ P(t)=(1+i)^t$$

buoyant fogBOT
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conquestace

oblique tusk
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where $i$ is the interest rate

buoyant fogBOT
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conquestace